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Finding the Fourth Proportional to 5,724.66, 8,590.23 and 2,437.41

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Solution

The fourth proportional to 5,724.66, 8,590.23 and 2,437.41 is: 3,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.66 : 8,590.23 = 2,437.41 : x
  2. Step 2: Convert to fraction form
    5,724.66/8,590.23 = 2,437.41/x
  3. Step 3: Cross multiply
    5,724.66x = 8,590.23 × 2,437.41
  4. Step 4: Simplify right side
    5,724.66x = 20,937,912.50
  5. Step 5: Solve for x
    x = 20,937,912.50/5,724.66
  6. Step 6: Final answer
    x = 3,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.